338070 has 32 divisors (see below), whose sum is σ = 829440. Its totient is φ = 88160.

The previous prime is 338033. The next prime is 338119. The reversal of 338070 is 70833.

338070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338070² = 228582649800, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338070.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1675 + ... + 1865.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2³³⁸⁰⁷⁰ is an apocalyptic number.

338070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720).

338070 is an abundant number, since it is smaller than the sum of its proper divisors (491370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338070 is a wasteful number, since it uses less digits than its factorization.

338070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 338070 is about 581.4378728635. The cubic root of 338070 is about 69.6630060982.

The spelling of 338070 in words is "three hundred thirty-eight thousand, seventy".